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Title: Superconvergence properties of quintic interpolatroy splines
Authors: Behforooz, GH
Papamichael, N
Issue Date: 1980
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). Mar 1980, pp 1-17
Abstract: Let Q be a quintic spline with equi-spaced knots on [a,b] interpolating a given function y at the knots. The parameters which determine Q are used to construct a piecewise defined polynomial P of degree six. It is shown that P can be used to give at any point of [a,b] better orders of approximation to y and its derivatives than those obtained from Q. It is also shown that the superconvergence properties of the derivatives of Q, at specific points of [a,b], are all simple consequences of the properties of P.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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